Simplify (x+9)(x+4)

$(x + 9) (x + 4)$

Step 1

Expand $(x + 9) (x + 4)$ using the FOIL Method.

Apply the distributive property.

$x (x + 4) + 9 (x + 4)$

Apply the distributive property.

$x \cdot x + x \cdot 4 + 9 (x + 4)$

Apply the distributive property.

$x \cdot x + x \cdot 4 + 9 x + 9 \cdot 4$

$x \cdot x + x \cdot 4 + 9 x + 9 \cdot 4$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + x \cdot 4 + 9 x + 9 \cdot 4$

Move $4$ to the left of $x$ .

$x^{2} + 4 \cdot x + 9 x + 9 \cdot 4$

Multiply $9$ by $4$ .

$x^{2} + 4 x + 9 x + 36$

$x^{2} + 4 x + 9 x + 36$

Add $4 x$ and $9 x$ .

$x^{2} + 13 x + 36$

$x^{2} + 13 x + 36$

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